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Finding the Fourth Proportional to 503.21, 757.60 and 460.16

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Solution

The fourth proportional to 503.21, 757.60 and 460.16 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.21 : 757.60 = 460.16 : x
  2. Step 2: Convert to fraction form
    503.21/757.60 = 460.16/x
  3. Step 3: Cross multiply
    503.21x = 757.60 × 460.16
  4. Step 4: Simplify right side
    503.21x = 348,611.13
  5. Step 5: Solve for x
    x = 348,611.13/503.21
  6. Step 6: Final answer
    x = 692.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.